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Open AccessArticle

Higher Spin Extension of Fefferman-Graham Construction

1
Laboratoire de Mathématiques et Physique Théorique Unité Mixte de Recherche 7350 du CNRS Fédération de Recherche 2964 Denis Poisson Université François Rabelais, Parc de Grandmont, Tours 37200, France
2
Lebedev Institute of Physics, Leninsky ave. 53, Moscow 119991, Russia
3
Albert Einstein Institute, Am Mühlenberg 1, D-14476 Potsdam-Golm, Germany
*
Author to whom correspondence should be addressed.
Universe 2018, 4(2), 17; https://doi.org/10.3390/universe4020017
Received: 31 October 2017 / Revised: 28 December 2017 / Accepted: 12 January 2018 / Published: 29 January 2018
(This article belongs to the Special Issue Higher Spin Gauge Theories)
Fefferman-Graham ambient construction can be formulated as sp ( 2 ) -algebra relations on three Hamiltonian constraint functions on ambient space. This formulation admits a simple extension that leads to higher-spin fields, both conformal gauge fields and usual massless fields on anti-de Sitter spacetime. For the bulk version of the system, we study its possible on-shell version which is formally consistent and reproduces conformal higher-spin fields on the boundary. Interpretation of the proposed on-shell version crucially depends on the choice of the functional class. Although the choice leading to fully interacting higher-spin theory in the bulk is not known, we demonstrate that the system has a vacuum solution describing general higher-spin flat backgrounds. Moreover, we propose a functional class such that the system describes propagation of higher-spin fields over any higher-spin flat background, reproducing all the structures that determine the known nonlinear higher-spin equations. View Full-Text
Keywords: higher-spin theory; AdS/CFT; Fefferman-Graham higher-spin theory; AdS/CFT; Fefferman-Graham
MDPI and ACS Style

Bekaert, X.; Grigoriev, M.; Skvortsov, E. Higher Spin Extension of Fefferman-Graham Construction. Universe 2018, 4, 17.

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